I came to SK via Ouran High School Host Club's KyoyaxHaruhi and MorixHaruhi ships. They are the most similar in that fandom.

I've recently also been reading crossovers and watching Naruto. I'm about ~3/4's of the way through the first 220 episodes. From there, KagomexItachi, KagomexSasuke, KagomexGaara seem reasonably similar in terms of stoic and controlled or composed personality (or darker personality). KagomexKiba and KagomexNaruto are similar in terms of canine traits and tropes. Sakura seems somewhat like Kagome in personality and other characteristics (healers, not necessarily strong physical fighters, obsessed with their first "love", bit of a temper), so Sakura pairings with many of the male characters might be similar as well.

I've also been reading crossovers with YuYu Hakusho, but I've barely watched any of the episodes. Of those KagomexYouko, KagomexKurama, and KagomexHiei are most similar. I'm not familiar with a hot the female characters, so I'm not sure which YYH pairings could also fit.

Let's see for Naruto I ship Kakashi x Sakura for DBZ I have to say the best pairing is Canon which is Vegeta x Bulma. Then, though I know it's not technically anime my other favorite pairing is in ATLAB is Zuko x Katara and last and best of all is Sesshomaru x Kagome.